A Statistics Student Is Asked to Estimate Y = β₀

question 77

Multiple Choice

A statistics student is asked to estimate y = β₀ + β₁x + ε. She calculates the following values: = 440, = −568, , = 1,120, n = 11. Which of the following is the value of y if x equals 2?

• A) 6.62
• B) 11.78
• C) 58.22
• D) 63.38

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Definitions:

Crime Rates

The number of crimes committed per unit of population within a given time period, usually expressed per 100,000 people.

Multiple Correlation Coefficient

A statistical measure that represents the strength of the relationship between multiple independent variables and one dependent variable.

Predicted Values

The values estimated by a statistical model or equation based on the inputs of explanatory variables.

Explanatory Variables

Variables in a statistical model that are used to explain changes or variations in a response variable.